Use the image to answer the question.

Question

Colin charges a flat fee for babysitting plus an hourly fee. His total cost is represented on the graph. How can you represent this situation algebraically?

Fill in the blanks with the correct values.

y = ____x+____



(1 point)
Responses

3, 20
3, 20

8, 4
8, 4

0, 8
0, 8

4, 8
4, 8
Skip to navigation

Answer 1

To represent Colin's babysitting cost algebraically, we need to identify the components of the equation \(y = mx + b\), where:

• \(y\) represents the total cost,
• \(m\) represents the hourly rate (the slope),
• \(x\) represents the number of hours worked, and
• \(b\) represents the flat fee (the y-intercept).

Without the image, I can't see the specific values on the graph, but you can identify them by determining the slope (hourly rate) and the y-intercept (flat fee) from the graph.

Based on the typical interpretation of such graphs:

1. Find the flat fee: Look at the total cost when \(x = 0\) (this is where the line crosses the y-axis).
2. Find the hourly fee: Determine how much the cost increases per hour. You can do this by checking how much \(y\) increases for each unit of increase in \(x\).

Once you identify these two values, you can fill in the blanks in \(y = mx + b\) appropriately.

If you can provide the specific points or values from the graph or confirm values that correspond to the options given, I can help you more accurately select the correct response.

Answer 2

pick one

Answer 3

Based on typical scenarios for babysitting charges and the options given, without seeing the graph, I would suggest the following:

Representation: \(y = 3x + 20\)

This means that Colin's hourly rate is $3 and his flat fee is $20.

So the complete equation would be: y = 3x + 20

Please double-check the graph values to ensure these numbers align with what you see. If they do not, feel free to provide more information!